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Finding the Fourth Proportional to 8,297.79, 11,452.37 and 4,942.50

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Solution

The fourth proportional to 8,297.79, 11,452.37 and 4,942.50 is: 6,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.79 : 11,452.37 = 4,942.50 : x
  2. Step 2: Convert to fraction form
    8,297.79/11,452.37 = 4,942.50/x
  3. Step 3: Cross multiply
    8,297.79x = 11,452.37 × 4,942.50
  4. Step 4: Simplify right side
    8,297.79x = 56,603,314.01
  5. Step 5: Solve for x
    x = 56,603,314.01/8,297.79
  6. Step 6: Final answer
    x = 6,821.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.